Search a number
-
+
100121021200332 = 2232112915157737123
BaseRepresentation
bin10110110000111100111101…
…111001110011011111001100
3111010111110212010001111021200
4112300330331321303133030
5101110340322411402312
6552534543455025500
730042335145314136
oct2660747571633714
9433443763044250
10100121021200332
11299a10a5355210
12b29015b50b290
1343b34aaa81062
141aa1c51a24056
15b8959e2430dc
hex5b0f3de737cc

100121021200332 has 144 divisors (see below), whose sum is σ = 287503163700480. Its totient is φ = 29099509488000.

The previous prime is 100121021200327. The next prime is 100121021200337. The reversal of 100121021200332 is 233002120121001.

100121021200332 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 210 + 2 + 120 + 0 + 332 = 666.

It is an interprime number because it is at equal distance from previous prime (100121021200327) and next prime (100121021200337).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100121021200337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27134478 + ... + 30602645.

It is an arithmetic number, because the mean of its divisors is an integer number (1996549747920).

Almost surely, 2100121021200332 is an apocalyptic number.

100121021200332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100121021200332 is an abundant number, since it is smaller than the sum of its proper divisors (187382142500148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100121021200332 is a wasteful number, since it uses less digits than its factorization.

100121021200332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57737324 (or 57737319 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100121021200332 its reverse (233002120121001), we get a palindrome (333123141321333).

The spelling of 100121021200332 in words is "one hundred trillion, one hundred twenty-one billion, twenty-one million, two hundred thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 151 174 198 261 302 319 348 396 453 522 604 638 906 957 1044 1276 1359 1661 1812 1914 2718 2871 3322 3828 4379 4983 5436 5742 6644 8758 9966 11484 13137 14949 17516 19932 26274 29898 39411 48169 52548 59796 78822 96338 144507 157644 192676 289014 433521 578028 867042 1734084 57737123 115474246 173211369 230948492 346422738 519634107 635108353 692845476 1039268214 1270216706 1674376567 1905325059 2078536428 2540433412 3348753134 3810650118 5023129701 5715975177 6697506268 7621300236 8718305573 10046259402 11431950354 15069389103 17436611146 18418142237 20092518804 22863900708 26154916719 30138778206 34873222292 36836284474 52309833438 55254426711 60277556412 73672568948 78464750157 95901361303 104619666876 110508853422 156929500314 165763280133 191802722606 221017706844 252830861617 287704083909 313859000628 331526560266 383605445212 505661723234 575408167818 663053120532 758492584851 863112251727 1011323446468 1150816335636 1516985169702 1726224503454 2275477754553 2781139477787 3033970339404 3452449006908 4550955509106 5562278955574 8343418433361 9101911018212 11124557911148 16686836866722 25030255300083 33373673733444 50060510600166 100121021200332